225205313 has 2 divisors, whose sum is σ = 225205314. Its totient is φ = 225205312.

The previous prime is 225205289. The next prime is 225205327. The reversal of 225205313 is 313502522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138956944 + 86248369 = 11788^2 + 9287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225205313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (225201313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112602656 + 112602657.

It is an arithmetic number, because the mean of its divisors is an integer number (112602657).

Almost surely, 2^225205313 is an apocalyptic number.

It is an amenable number.

225205313 is a deficient number, since it is larger than the sum of its proper divisors (1).

225205313 is an equidigital number, since it uses as much as digits as its factorization.

225205313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 225205313 is about 15006.8422061405. The cubic root of 225205313 is about 608.4051440759.

Adding to 225205313 its reverse (313502522), we get a palindrome (538707835).

The spelling of 225205313 in words is "two hundred twenty-five million, two hundred five thousand, three hundred thirteen".